There were no details about the expected sex of the child or due date.

Bozan, an interior designer and former bartender, has a daughter, Alexa, from a previous relationship. The couple met while Damon was filming the Siamese twin comedy "Stuck on You" in Florida and dated a year and a half before becoming engaged. They married in December 2005 in New York in a private ceremony and had a daughter, Isabella, in June 2006.

The 37-year-old Damon's latest credits include "Ocean's 13," "The Good Shepherd" and "The Departed." He's currently shooting the CIA thriller "Green Zone" in Morocco.